Question

Help me please

the points A(-4, 0) and B(6, 0) are the endpoints of a segment that is the diameter of circle P. Write the equation of circle P?

Answer 1

(x-1)^2 + y^2 = 25

Explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25